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Finding the Fourth Proportional to 147.83, 204.08 and 112.91

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Solution

The fourth proportional to 147.83, 204.08 and 112.91 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.83 : 204.08 = 112.91 : x
  2. Step 2: Convert to fraction form
    147.83/204.08 = 112.91/x
  3. Step 3: Cross multiply
    147.83x = 204.08 × 112.91
  4. Step 4: Simplify right side
    147.83x = 23,041.09
  5. Step 5: Solve for x
    x = 23,041.09/147.83
  6. Step 6: Final answer
    x = 155.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.